Practice standards describe a way to dive deep with the content. The mathematical practices we want are encouraged by worthwhile tasks. We can get better at implementing worthwhile tasks by struggling with them ourselves.
Where you can start
Choose engaging tasks aligned with your instruction
Complete them yourself and with colleagues
Adapt as necessary, focusing on the questions that will drive the discussion
Try it with your class, using student presentations and your questions to carry the instruction
Given a set of data: Organize the data, identify trends, ask questions, develop and justify hypotheses, summarize the data Given a situation: Represent it, describe it, interpret it, make predictions, plan a course of action, decide whats fair, identify contradictions or rip-offs Given a claim: Evaluate it Given a set of constraints: Satisfy them, find an optimum solution Given a model: Explain it, debug it, refine it, generalize it, evaluate it, apply it Credit to: www.steveleinwand.com(publications; great online resources)
Resources for embracing the productive struggle
Practice standards describe a way to dive deep with the content. The mathematical practices we want are encouraged by worthwhile tasks. We can get better at implementing worthwhile tasks by struggling with them ourselves.Where you can start
Where to find worthwhile tasks
- LearnZillion: www.learnzillion.com
- Inside Mathematics: www.insidemathematics.org
- Illustrative Mathematics: www.illustrativemathematics.org
- NCTM Illuminations: http://illuminations.nctm.org
- Balanced Assessment: http://balancedassessment.concord.org
- Mathalicious: http://www.mathalicious.com
- Dan Meyers three act lessons: https://docs.google.com/spreadsheet/ccc?key=0AjIqyKM9d7ZYdEhtR3BJMmdBWnM2YWxWYVM1UWowTEE
- Thinking blocks: http://www.thinkingblocks.com
- Math Assessment Project: http://map.mathshell.org/materials/index.php
- Yummy Math: www.yummymath.com
- Emergent Math: http://emergentmath.com/my-problem-based-curriculum-maps
Credit to:www.steveleinwand.com(publications; great online resources)​Guidance for asking good questions
Given a set of data: Organize the data, identify trends, ask questions, develop and justify hypotheses, summarize the dataGiven a situation: Represent it, describe it, interpret it, make predictions, plan a course of action, decide whats fair, identify contradictions or rip-offs
Given a claim: Evaluate it
Given a set of constraints: Satisfy them, find an optimum solution
Given a model: Explain it, debug it, refine it, generalize it, evaluate it, apply it
Credit to: www.steveleinwand.com(publications; great online resources)